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用反函数求解等参数单元应变矩阵
Solve strain matrix of isoparametric element using inverse function
【摘要】 针对传统方法在求解等参数单元应变矩阵[B]时的复杂性,介绍了一种显式方法,整个求解过程不需用到隐函数的导数和逆矩阵,并以四结点等参元为例介绍了整个求解过程,并引入了符合数学习惯的Jacobi矩阵表达式,为求解等参数单元应变矩阵提供了参考依据。
【Abstract】 In light of the complexity of traditional method in solving strain matrix of isoparametric element,the author introduces a display method that the whole solving process needn’t use implicit function’s differential coefficient or inverse matrix,illustrates the whole solving process taking 4-node isoparametric element as an example,and introduces Jacobi matrix expression accorded with mathematics habits,which to offer referential basis to solve strain matrix of isoparametric element.
【关键词】 有限元法;
应变矩阵;
反函数;
结点;
【Key words】 finite element method; strain matrix; inverse function; node;
【Key words】 finite element method; strain matrix; inverse function; node;
- 【文献出处】 山西建筑 ,Shanxi Architecture , 编辑部邮箱 ,2007年28期
- 【分类号】TU311.4
- 【下载频次】101